The turnpike with lack of observability

Dario Pighin, Noboru Sakamoto

Published 2020-07-28Version 1

We obtain turnpike results for optimal control problems with lack of stabilizability in the state equation and/or detectability in the state term in the cost functional. We show how, under weakened stabilizability/detectability conditions, terminal conditions may affect turnpike phenomena. Numerical simulations have been performed to illustrate the theoretical results.